weights.cpp

普林斯顿开发的快速球面调和变换算法

  0.0030734199619, 0.003105896970238, 0.003138358593542, 0.003170601921752, 
  0.003202824632518999, 0.003234829360708, 0.003266808368473, 
  0.003298569616617, 0.003330300163847999, 0.003361813092194, 
  0.003393290455317, 0.00342455026483, 0.003455769755219, 0.003486771688035, 
  0.003517728652959, 0.003548467992873, 0.003579157816428, 0.003609629889387, 
  0.003640047993388, 0.003670248168005, 0.00370039001286, 0.003730313700935, 
  0.003760174786501, 0.003789817443554, 0.003819393309955999, 
  0.003848750435768, 0.003878036664213, 0.003907103803373001, 
  0.003936096016942, 0.003964868759394, 0.003993562623816, 
  0.004022036605419001, 0.004050427829826001, 0.004078598732904, 
  0.004106683070578, 0.004134546624483, 0.004162319873579001, 
  0.004189871855248001, 0.004217329859513001, 0.004244566094025001, 
  0.004271704743495001, 0.004298621104627, 0.004325436336318, 
  0.004352028747102, 0.004378516545684001, 0.004404780978957001, 
  0.004430937377421001, 0.004456869856377, 0.004482690936682001, 
  0.004508287535417001, 0.004533769429134, 0.004559026273189, 
  0.004584165162129, 0.004609078429030001, 0.004633870545864, 
  0.004658436465650001, 0.004682878094518001, 0.004707092950275, 
  0.00473118042738, 0.004755040555759999, 0.004778770269959001, 
  0.004802272061704, 0.004825640455081, 0.004848780355527, 0.00487178392396, 
  0.004894558433549001, 0.004917193727272, 0.004939599402047001, 
  0.004961863026186001, 0.004983896478286, 0.005005785093406, 
  0.005027442991551001, 0.005048953314173001, 0.005070232384145, 
  0.005091361187270001, 0.005112258212384, 0.005133002325996001, 
  0.005153514147559001, 0.005173870459121, 0.005193993976897, 
  0.005213959431841, 0.005233691604496001, 0.005253263206698, 
  0.005272601052242, 0.005291775864488, 0.005310716460711001, 
  0.005329491605157, 0.005348032090048001, 0.005366404748669, 
  0.005384542320838001, 0.005402509735862, 0.005420241654952001, 
  0.005437801129286001, 0.005455124716366, 0.005472273614022, 
  0.005489186251984, 0.00550592199848, 0.005522421132419999, 
  0.005538741215183, 0.005554824352777001, 0.005570726321529001, 
  0.005586391033396, 0.005601872500531, 0.005617116420594, 0.005632175061549, 
  0.005646995887380001, 0.005661629440992001, 0.005676024934150002, 
  0.005690231203007001, 0.005704199189367, 0.005717976040144, 
  0.00573151441022, 0.005744859774007, 0.005757966483261999, 
  0.005770878355882001, 0.005783551425027001, 0.005796027867347, 
  0.005808265382635001, 0.005820304520862001, 0.005832104634372, 
  0.005843704660338, 0.005855065590243001, 0.00586622476169, 
  0.005877144792525001, 0.005887861433364999, 0.005898338916278, 
  0.005908611416851, 0.005918644769848001, 0.005928471587176, 
  0.005938059295355, 0.005947438953369001, 0.005956579569142, 
  0.005965510658911, 0.005974202802222001, 0.005982683982174, 
  0.0059909263407, 0.005998956336821, 0.006006747666167, 0.0060143252722, 
  0.006021664396086001, 0.006028788473711001, 0.006035674284143, 
  0.006042343763159, 0.006048775220592, 0.006054989099073001, 
  0.00606096523257, 0.006066722577022001, 0.006072242484397, 
  0.006077542429899001, 0.006082605277847, 0.006087447028186, 
  0.006092052052407001, 0.006096434880196, 0.006100581385514001, 
  0.006104504632306, 0.006108191992765001, 0.006111655069151, 
  0.006114882728112, 0.006117885113813, 0.006120652584033, 
  0.006123193827978001, 0.006125500691682, 0.006127580412073001, 
  0.006129426321014999, 0.006131044205378, 0.006132428880873001, 
  0.006133584686079, 0.006134507918985001, 0.006135201471109, 
  0.006135663121189001, 0.006135894310104, 0.006135894330353001, 
  0.006135663127938001, 0.006135201475158, 0.006134507921876999, 
  0.006133584688328999, 0.006132428882714001, 0.006131044206935, 
  0.006129426322363001, 0.006127580413262001, 0.006125500692746, 
  0.006123193828938, 0.006120652584909, 0.006117885114619, 
  0.006114882728857002, 0.006111655069845, 0.006108191993413001, 
  0.006104504632915, 0.006100581386088, 0.006096434880738001, 
  0.006092052052921, 0.006087447028675, 0.006082605278313001, 
  0.006077542430344001, 0.006072242484822001, 0.006066722577429001, 
  0.006060965232962001, 0.006054989099448001, 0.006048775220953, 
  0.006042343763507, 0.006035674284479001, 0.006028788474036001, 
  0.0060216643964, 0.006014325272504, 0.006006747666462, 0.005998956337106, 
  0.005990926340977, 0.005982683982443, 0.005974202802484001, 
  0.005965510659166, 0.005956579569389, 0.005947438953609, 
  0.005938059295590001, 0.005928471587405, 0.005918644770072001, 
  0.005908611417070001, 0.00589833891649, 0.005887861433571999, 
  0.005877144792727, 0.005866224761888001, 0.005855065590437001, 
  0.005843704660528, 0.005832104634556, 0.005820304521043, 
  0.005808265382813001, 0.005796027867521002, 0.005783551425197001, 
  0.005770878356049001, 0.005757966483426001, 0.005744859774168, 
  0.005731514410377, 0.005717976040299, 0.005704199189518001, 
  0.005690231203156, 0.005676024934296001, 0.005661629441134999, 
  0.005646995887520001, 0.005632175061686999, 0.005617116420729001, 
  0.005601872500663, 0.005586391033526001, 0.005570726321654, 
  0.005554824352903, 0.005538741215304001, 0.005522421132542, 
  0.005505921998597, 0.005489186252101, 0.005472273614135001, 
  0.005455124716480001, 0.005437801129395, 0.005420241655062, 
  0.005402509735968, 0.005384542320946001, 0.005366404748772001, 
  0.005348032090152001, 0.005329491605258001, 0.005310716460812, 
  0.005291775864586001, 0.005272601052340001, 0.005253263206792001, 
  0.005233691604590001, 0.005213959431933001, 0.005193993976988, 
  0.005173870459209001, 0.005153514147648, 0.005133002326081, 
  0.005112258212471001, 0.005091361187355002, 0.00507023238423, 
  0.005048953314254, 0.005027442991634001, 0.005005785093485001, 
  0.004983896478366001, 0.004961863026263, 0.004939599402124001, 
  0.004917193727347, 0.004894558433625001, 0.004871783924034001, 
  0.004848780355600001, 0.004825640455152, 0.004802272061775, 
  0.004778770270028, 0.004755040555829, 0.004731180427446001, 
  0.004707092950341, 0.004682878094582, 0.004658436465715, 0.004633870545927, 
  0.004609078429093, 0.004584165162189999, 0.004559026273251, 
  0.004533769429193, 0.004508287535477001, 0.004482690936739, 
  0.004456869856435001, 0.004430937377477001, 0.004404780979013001, 
  0.004378516545739, 0.004352028747156, 0.004325436336371, 0.004298621104681, 
  0.004271704743546001, 0.004244566094077001, 0.004217329859563001, 
  0.004189871855299, 0.004162319873628001, 0.004134546624532, 
  0.004106683070625, 0.004078598732951001, 0.004050427829872, 
  0.004022036605464, 0.00399356262386, 0.003964868759439, 0.003936096016985, 
  0.003907103803416, 0.003878036664255, 0.00384875043581, 0.003819393309996, 
  0.003789817443595, 0.00376017478654, 0.003730313700974, 0.003700390012898, 
  0.003670248168042, 0.003640047993424, 0.003609629889423, 0.003579157816463, 
  0.003548467992908, 0.003517728652994, 0.00348677168807, 0.003455769755252, 
  0.003424550264864, 0.00339329045535, 0.003361813092226, 0.003330300163878, 
  0.003298569616648, 0.003266808368503, 0.003234829360738, 0.003202824632547, 
  0.003170601921781, 0.00313835859357, 0.003105896970266, 0.003073419961927, 
  0.003040724248424, 0.003008018519334, 0.00297509356873, 0.002942164117411, 
  0.002909014812403, 0.002875866676231, 0.002842497927893, 0.002809136182847, 
  0.002775552929348, 0.00274198268983, 0.002708189895071, 0.002674416313795, 
  0.002640418965952, 0.002606447233923999, 0.0025722503439, 
  0.002538085690483, 0.002503694290235, 0.002469341983354, 0.002434761124084, 
  0.002400226470554, 0.002365461220732, 0.002330749566771, 0.002295805009966, 
  0.002260921741902, 0.002225802974386, 0.002190753519609, 0.002155465647675, 
  0.002120255475891, 0.002084803612844, 0.002049438237686, 0.002013827500426, 
  0.001978312481505, 0.00194254798661, 0.001906888932116, 0.001870975791311, 
  0.001835178361288, 0.001799121676152, 0.001763191586619, 0.001726996442342, 
  0.001690939470479, 0.001654610928397, 0.001618432919102, 0.001581976007697, 
  0.001545682881875, 0.001509102585768, 0.001472700350912, 0.001436001597252, 
  0.001399496361002, 0.001362684002406, 0.001326081990101, 0.001289160782941, 
  0.001252468360575, 0.001215442936972, 0.001178666641549, 0.001141541472585, 
  0.001104688052865, 0.001067467399459, 0.0010305438715, 0.000993231717406, 
  0.000956245441748, 0.000918845400187, 0.000881804191429, 0.000844319371613, 
  0.000807231658007, 0.000769664468757, 0.00073253953165, 0.000694891382594, 
  0.000657739728686, 0.0006200105571850001, 0.00058284452246, 
  0.00054503200804, 0.0005078667900840001, 0.0004699649708719999, 
  0.000432820512961, 0.000394817160832, 0.0003577218931049999, 
  0.000319593024663, 0.000282592182483, 0.000244288939512, 0.000207466271306, 
  0.000168876765096, 0.000132427011548, 0.000093223524253, 0.000057824463176, 
  0.00001642750396799999};

static const double w512[1024] = 
{0.000004106879400, 0.000014456273158, 0.000023306559435, 
  0.000033108671611, 0.00004222320224200001, 0.00005187396827500001, 
  0.00006108436171500001, 0.00007066677338799999, 0.00007992540675699999, 
  0.000089468498074, 0.000098755495817, 0.000108272542349, 0.000117577656232, 
  0.000127075713915, 0.000136392895909, 0.000145876080638, 0.000155201403121, 
  0.000164672262839, 0.000174002983096, 0.000183463153807, 0.000192797242849, 
  0.000202247794306, 0.000211583678538, 0.0002210253104269999, 
  0.000230361720507, 0.000239794880528, 0.000249130758092, 0.000258555716462, 
  0.000267890154061, 0.000277307052401, 0.000286639253414, 0.000296048137923, 
  0.000305377388964, 0.000314778233575, 0.000324103884993, 0.000333496607917, 
  0.000342818059722, 0.000352202535531, 0.000361519227009, 0.000370895295652, 
  0.000380206697583, 0.0003895741711779999, 0.0003988797798979999, 
  0.000408238447972, 0.000417537780798, 0.0004268874143590001, 
  0.000436180005999, 0.0004455203607440001, 0.0004548057604690001, 
  0.0004641365793420001, 0.000473414348713, 0.0004827353639690001, 
  0.0004920050750080001, 0.000501316009885, 0.0005105772435880001, 
  0.0005198778136810001, 0.000529130158804, 0.0005384200731900001, 
  0.000547663125237, 0.0005569420874319999, 0.0005661754478159999, 
  0.000575443156556, 0.0005846664319000001, 0.0005939225818200001, 
  0.0006031353833700001, 0.0006123796655580001, 0.0006215816086820001, 
  0.0006308137111759999, 0.0006400044149439999, 0.00064922402314, 
  0.0006584031099620001, 0.0006676099069780001, 0.0006767770022980001, 
  0.0006859706692809999, 0.0006951254013070001, 0.0007043056177120001, 
  0.0007134476171900001, 0.0007226140610170001, 0.000731742961034, 
  0.0007408953090330001, 0.0007500107448440002, 0.000759148672704, 
  0.0007682502815870001, 0.000777373464104, 0.000786460885222, 
  0.0007955689964400002, 0.000804641870736, 0.000813734584083, 
  0.000822792554179, 0.000831869542581, 0.000840912252691, 0.000849973188684, 
  0.000859000284534, 0.000868044840356, 0.000877055969128, 0.000886083816808, 
  0.000895078627073, 0.000904089438512, 0.00091306758018, 0.000922061027225, 
  0.000931022151505, 0.000939997906011, 0.00094894166537, 0.000957899399267, 
  0.000966825447395, 0.000975764832744, 0.000984672824523, 0.000993593533568, 
  0.001002483125052, 0.00101138483027, 0.001020255678654, 0.0010291380528, 
  0.001037989816413, 0.001046852532563, 0.001055684870837, 0.001064527602429, 
  0.001073340175901, 0.001082162596774, 0.001090955067055, 0.001099756851485, 
  0.001108528881269, 0.001117309703996, 0.001126060957045, 0.001134820493313, 
  0.001143550634444, 0.001152288560031, 0.001160997255122, 0.001169713246361, 
  0.001178400162341, 0.001187093896159, 0.001195758701007, 0.001204429854942, 
  0.001213072217686, 0.001221720469919, 0.001230340060635, 0.001238965090009, 
  0.001247561579823, 0.001256163065871, 0.001264736126961, 0.001273313749924, 
  0.001281863055519, 0.001290416496373, 0.001298941720758, 0.001307470661232, 
  0.001315971479751, 0.001324475602346, 0.001332951691408, 0.001341430679422, 
  0.001349881716502, 0.001358335254045, 0.00136676091769, 0.001375188689703, 
  0.001383588659542, 0.001391990351817, 0.001400364308559, 0.001408739607758, 
  0.001417087233201, 0.00142543582687, 0.001433756803915, 0.001442078380501, 
  0.001450372393146, 0.001458666642021, 0.001466933375377, 0.001475199986844, 
  0.001483439127139, 0.001491677792454, 0.001499889027044, 0.001508099438431, 
  0.001516282455802, 0.001524464306469, 0.00153261879625, 0.001540771780403, 
  0.001548897433369, 0.001557021246228, 0.001565117754316, 0.001573212092127, 
  0.001581279148436, 0.001589343708489, 0.001597381007296, 0.001605415487939, 
  0.001613422724701, 0.00162142682535, 0.001629403696718, 0.00163737711788, 
  0.001645323321701, 0.001653265764974, 0.001661181000313, 0.001669092168413, 
  0.001676976135549, 0.001684855732315, 0.001692708132754, 0.001700555863164, 
  0.001708376399653, 0.001716191969838, 0.001723980346365, 0.001731763463621, 
  0.001739519385435, 0.001747269758236, 0.001754992931848, 0.001762710269857, 
  0.001770400403054, 0.001778084417137, 0.00178574121899, 0.00179339162123, 
  0.001801014802101, 0.001808631305809, 0.001816220577366, 0.001823802897091, 
  0.001831357972312, 0.001838905823856, 0.001846426417043, 0.001853939517471, 
  0.001861425344255, 0.001868903411911, 0.001876354189264, 0.001883796943776,